Mathematical Theory of Networks and Systems

InhaltsangabeOn the design problem for linear systems.- Linear fractional parameterizations of matrix function spaces and a new proof of the Youla-Jabr-Bongiorno parameterization for stabilizing compensators.- Minimal order representation, estimation and feedback of continuous-time stochastic linear systems.- Wiener-Hopf factorization and realization.- Closedness of an attainable set of a delay system.- A new unit circle stability criterion.- On the structure and parameterization of non-minimal partial realizations.- Uniqueness of circuits and systems containing one nonlinearity.- Robotic manipulators and the product of exponentials formula.- Applications of Pade approximants and continued fractions in systems theory.- Toward a global theory of {f,g}-invariant distributions with singularities.- An algebraic notion of zeros for systems over rings.- On semigroup formulations of unbounded observations and control action for distributed systems.- Spectral properties of finite Toeplitz matrices.- Stochastic model reduction and reduced-order Kalman-Bucy filtering.- Spectral approximation and estimation with scattering functions.- Orthogonal filters: A numerical approach to filtering theory.- Generalized solutions of semistate equations.- Formal orthogonal polynomials and Pade approximants in a non-commutative algebra.- Unitary interpolation, factorization indices and block Hankel matrices.- A continuation-type method for solving semistate equations.- The distance between a system and the set of uncontrollable systems.- The resolution topology and internal stabilization.- On the inversion of nonlinear multivariable systems.- On some connections between 2D systems theory and the theory of systems over rings.- H? - optimal feedback controllers for linear multivariable systems.- A sign characteristic for selfadjoint rational matrix functions.- Partial realization by discrete-time internally bilinear systems: An algorithm.- Approximation and control of symmetric systems on the circle.- A canonical form for the algebraic Riccati equation.- Stochastic balancing and approximation-stability and minimality.- Disturbance rejection for systems over rings.- The linear systems lie algebra, the Segal-Shale-Weil representation and all Kalman-Bucy filters.- Special structure, decentralization and symmetry for linear systems.- A canonical form for static linear output feedback.- Nonlinear control of aircraft.- Nonlinear feedback, structure at infinity and the input-output linearization problem.- Principal component analysis of flexible systems - Open-loop case.- Reduced compensator design via LQG-balancing - A case study.- A local theory of linear systems with noncommensurate time delays.- An approach to the description of some algebraic varieties arising in system theory.- A fast graph theoretic algorithm for the feedback decoupling problem of nonlinear systems.- On the regulator problem with internal stability.- State space theory - A Banach space approach.- On determinantal representation of algebraic curves.- On certain infinite-dimensional lie algebras and related system-theoretic problems.- Coordination of concurrent probabilistic processes.- A volterra series interpretation of some higher order conditions in optimal control.- Remarks on minimal realizations of 2-D systems.- Some problems in model order reduction using frequency-domain methods.- Distributed systems and their transfer function.- System theory and wave dispersion.- On exact controllability in hilbert spaces.- Forward and backward semimartingale representations for stationary increments processes.- Nonlinear control theory and symbolic algebriac manipulation.- A summary of recent results on deadbeat control using periodic feedback.- Stochastic control with average constraint.- Analytic theory of random fields estimation and filtering.- A strategy for decentralized control of stably connected systems.- The concept of power dominant systems.- A lattice theoretical characterization of network sys